Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?

Answers

Answer 1

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .


Related Questions

Find the prime factorization of 24. Make sure to show all of your work.

Answers

Answer:

2^3*3

Step-by-step explanation:

So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.

Answer:

2^3*3

Step-by-step explanation: So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.

What is the Triangle inequality theorem?

Answers

Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Step-by-step explanation:

Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Step-by-step explanation:

bye

I need help! The 20% off sale is a better deal than the $200 rebate or $150 coupon for the $1,500 dining room set. Explain why this is the best deal for them. Are they under budget?

Answers

Answer:

See explanation

Step-by-step explanation:

The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).

However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.

If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.

Work:

1500 x 20%

1500 x 0.20 = 300

1500-300= $1200

1500-150= 1350

1500-200= 1300

Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.

THERE IT IS.
THANK YOU SO MUCH FOR HELPING ME ​

Answers

I keep getting 1/2 sorry

I need helppp!!!!!!!!!

Answers

Answer: 0.5 and 9

Explanation:

6x + 1 _> 4
6x _> 3
x _> 1/2

-2x + 8 > -12
-2x > -20
x < 10

Thus, 1/2 <_ x < 10 meaning that x is bigger or equal to 1/2 but less than 10.

And if we look at our choice we see that 0.5 and 9 meets the condition

4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

Answers

6 please mark brainliest
They would get 6. Hope this helps.

What is the increasing and decreasing intervals of this graph?

Answers

Answer:

A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.

The graph increases at 3 and decreases at 1

A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.

Step-by-step explanation:

hope this helped

The function is increasing at (1, 0) and decreasing at (3, 0).

Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,

If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.

The graph goes up at 3 and down at 1.

If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.

Hence the function is increasing at (1, 0) and decreasing at (3, 0).

Learn more about increasing and decreasing intervals click;

https://brainly.com/question/11051767

#SPJ2

helpppp pleaseeeeeee​

Answers

Answer:

B

Step-by-step explanation:

The sugar is already dissolved, so we know it's not C, We know it's not A, because if the water was impure, wouldn't the problem tell us in the first place?

I hope this helps, plz let me know!

Lines l and m are intersected by transversal t. l ∥ m.
If m∠4 = 105, what is m∠5?

Answers

Answer:

m<5 is 105

Step-by-step explanation:

<5 and <4 are alternate interior angles meaning they are congruent to each other.

Brayden is making dumplings. If he uses 3 5
a cup of dough for each dumpling, how much dough does Brayden need to make 9 dumplings?

Answers

WELL, considering 3 5 is three fifths, then all you gotta do is multiply 3/5 by 9 to get your answer. Your answer, in decimals, is 5.4!

Hope this helps, if not, comment below please!!!

( ps: if you want me to convert 5.4 to fraction, just let me know! )

Answer:

27/9 or 5 2/9

Step-by-step explanation:

1. If one dumpling is worth 3/5 just multiply the 3 (numerator) by the amount of dumplings Brayden wants to make (9) so you would get the equation 3(9) and the answer is 27.

2. 27 is now the new numerator so put it over 5: 27/5. 27/5 is an improper fraction so the proper way of putting it would be 5&2/9.

3. Brayden needs 27/5 or 5&2/9 cups of dough to make 9 dumplings.

Which equation represents the line shown on the graph?
A- y=-2x
B- y=x+2
C- y= -x+2
D- y=2x

Answers

B- y=-x+2 most likely to be the answer

Answer:

B- y=-x+2

Step-by-step explanation:

I did this before

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?​

Answers

Answer:

y = x-9

Step-by-step explanation:

Brainliest answer to the quickest and most accurate response

Answers

(7x+14)+(4x-22)=180

11x-18=180

11x=198

x=18

(4)(18)-22

50

the small angles are 50

(3y+11)+10y=180

13y+11=180

13y=169

y=13

(10)(13)

130

the large angles are 130

proof:

(130(2))=(50(2))= 360

a/12=5/6 solve for a

Answers

Answer:

a = 10

Step-by-step explanation:

Multiply both sides by 12

[tex]\frac{a}{12}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{12a}{12}[/tex] which cancels out because it's 1

[tex]\frac{5 * 12}{6}[/tex] = [tex]\frac{60}{6}[/tex]

a = 10

Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school

Answers

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].

Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.

So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].

7th graders play more than three sports at the school= 16

[tex]\Rightarrow \frac{1}{32} x=16[/tex]

[tex]\Rightarrow x =16 \times 32[/tex]

[tex]\Rightarrow x = 512[/tex]

Hence, the total numbers of 7th graders in the school are 512.

Which expression is equivalent to 16.8 - 18.616.8−18.616, point, 8, minus, 18, point, 6? Choose 1 answer: Choose 1 answer: (Choice A) A 16.8-(-18.6)16.8−(−18.6)16, point, 8, minus, left parenthesis, minus, 18, point, 6, right parenthesis (Choice B) B -18.6+(-16.8)−18.6+(−16.8)minus, 18, point, 6, plus, left parenthesis, minus, 16, point, 8, right parenthesis (Choice C) C 18.6-16.818.6−16.818, point, 6, minus, 16, point, 8 (Choice D) D 16.8+(-18.6)16.8+(−18.6)

Answers

Given:

The expression is

[tex]16.8-18.6[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]16.8-18.6=-1.8[/tex]

In option A,

[tex]16.8-(-18.6)=16.8+18.6[/tex]

                        [tex]=35.4\neq -1.8[/tex]

In option B,

[tex]-18.6+(-16.8)=-18.6-16.8[/tex]

                        [tex]=-35.4\neq -1.8[/tex]

In option C,

[tex]18.6-16.8=1.8\neq -1.8[/tex]

In option D,

[tex]16.8+(-18.6)=16.8-18.6=-1.8[/tex]

Only the value of the expression in option D is equal to the value of given expression.

Therefore, correct option is D.


The graph shows a proportional relationship between distance and time.
What is the UNIT RATE of miles to time? *
320
240
160
Distance (mi),
80
8.
2
6
Time (h)
O 80 miles/hour
O 160 miles/ 4 hours
O 0.025 miles/hour
40 miles/hour
O Other:

Answers

Answer:

40 miles per hour, since the distance travelled is 80 miles in 2 hours, divide that in half and you have the proportion

Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?

A. $2,830.00
B. $988.20
C. $1,800.00
D. $2,635.20

Answers

D is the right answer

A. $2,830.00 He will pay 2,830.00 for the premium.

explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11

Answers

1st one is x=5
2nd one is x=-15
Pls mark brainliest

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

A. t 45
D. t ≥ 45

Answers

Answer:

d

Step-by-step explanation:

Answer: letter D

Goodluck:)

Simplify 2m - 7x + 6 + 3x - 4 by COMBINING LIKE TERMS.

Answers

The expression would be:

2m-4x+2

Answer:

2m - 4x + 2

Step-by-step explanation:

Combine -7x and 3x which gives your the -4x

Combine the -4 and 6 to give you the 2

x+(-4)=-12 111111111

Answers

Answer:x+(-4)=12 the answer is 8

Step-by-step explanation:

Answer:

can you please explain the different way

Step-by-step explanation:

Which word describes 5 in the number sentence shown?
2 = 18
53
A Term
B Variable
Equation
D) Coefficient

Answers

I think it's B because I did it before but I forgot but I think it is B

Donna is a pacer in a marathon. She finishes 26.2 miles in 3 hours 45 minutes (3.75 hours) while running at a constant speed. What is Donna’s speed in miles per hour to the nearest whole number?

Answers

Answer:

you need to multiply 6 by 3 for how many miles she went and then divide the leftover total by two (For the last two hours) to realize she needs to run 4.1 mph.

Step-by-step explanation:

Solve for a : -2a-7a=0

Answers

a=0 this is your answer

Sketch a graph that shows the relationship
between grams of honey and grams of salt
needed for a bakery recipe. Show on the
graph how much honey is needed for 70
grams of salt.
salt
flour
honey
(g)
10
14
4
25
35
10
+

Answers

Answer:

98 g

Step-by-step explanation:

Given relationship

Salt    >>  Honey  >> Flour10      >>  14          >> 425     >>  35        >> 10

It is easy to determine that the relationship is:

14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- salt

If x = 70, then y is:

y = 1.4*70 = 98 g

The sum of t and 7 is less than -3

Answers

if your asking for the equation, it's t + 7 < 3

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

0.2 divided by what equals -1

Answers

-0.2

I hope this helps
Ask if you have any questions

solve for x: -2(x+9)=5(x-7)

Answers

Answer: [tex]x[/tex] = [tex]\frac{17}{7}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−2[tex]x[/tex] − 18 = 5[tex]x[/tex] − 35

Step 2: Add 2[tex]x[/tex] to both sides.

−18 = 5x − 35 + 2[tex]x[/tex]

Step 3: Simplify 5[tex]x[/tex] − 35 + 2[tex]x[/tex] to 7[tex]x[/tex] − 35.

−18 = 7[tex]x[/tex] − 35

Step 4: Add 35 to both sides.

−18 + 35 = 7[tex]x[/tex]

Step 5: Simplify −18 + 35 to 17.

17 = 7[tex]x[/tex]

Step 6: Divide both sides by 7.

[tex]\frac{17}{7}[/tex] = [tex]x[/tex]

Step 7: Switch sides.

[tex]x[/tex] = [tex]\frac{17}{7}[/tex]

~I hope I helped you! :)~

4 in.
5 in.
2 in.
4 in.
5 in.
5 in.

Answers

Answer:

I need to see the whole question but I believe you just add the numbers

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